Global comparison of perturbed Green functions

DOI10.1007/s00208-005-0719-2zbMath1123.31001OpenAlexW2068132232MaRDI QIDQ818566

Wolfhard Hansen

Publication date: 21 March 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-005-0719-2

zbMATH Keywords

Green functioncomparable functionsperturbation by measurestriangle property

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (13)

Localization and Schrödinger perturbations of kernels ⋮ Positive Solutions to Schrödinger’s Equation and the Exponential Integrability of the Balayage ⋮ On combinatorics of Schrödinger perturbations ⋮ Metrics of hyperbolic type on bounded fractals ⋮ Uniqueness for an obstacle problem arising from logistic-type equations with fractional Laplacian ⋮ Estimates of the Green function for the fractional Laplacian perturbed by gradient ⋮ On the Picard principle for \(\Delta + \mu \) ⋮ Heat kernel estimates for the fractional Laplacian with Dirichlet conditions ⋮ Estimates of heat kernel of fractional Laplacian perturbed by gradient operators ⋮ Lower estimates for a perturbed Green function ⋮ Majorization, 4G theorem and Schrödinger perturbations ⋮ Estimates and structure of \(\alpha\)-harmonic functions ⋮ Schrödinger equations with smooth measure potential and general measure data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Dirichlet problem for sublaplacians on nilpotent Lie groups - geometric criteria for regularity
• Green function for Schrödinger operator and conditioned Feynman-Kac gauge
• Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions
• Estimates on Green functions and Poisson kernels for symmetric stable processes
• Maximum and anti-maximum principles and eigenfunctions estimates via perturbation theory of positive solutions of elliptic equations
• Semismall perturbations in the Martin theory for elliptic equations
• Inequalities for Green functions in a Dini-Jordan domain in \(\mathbb{R}^2\)
• Lectures on analysis on metric spaces
• The 3G-inequality for general Schrödinger operators on Lipschitz domains
• Potential theory. An analytic and probabilistic approach to balayage
• Perturbation by differences of unbounded potentials
• General gauge and conditional gauge theorems
• Normalized solutions of Schrödinger equations with potentially bounded measures
• Sharp estimates for the Green function in Lipschitz domains
• On the Distribution of First Hits for the Symmetric Stable Processes

This page was built for publication: Global comparison of perturbed Green functions